The relationships between these two sets of coordinates are given by the following equations:

$$x = r \cos(\theta)\qquad\qquad\qquad(1)$$$$y = r \sin(\theta)\qquad\qquad\qquad(2)$$$$r = \sqrt{x^2 + y^2}\qquad\qquad\quad(3)$$$$\theta = \tan^{-1}\frac{y}{x}\qquad\qquad\qquad(4)$$

**1. What are the polar coordinates of a point at $x=$4 cm, $y=$3 cm?**

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In [1]:
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## type what you put in calculator (safer to convert cell to markdown)

*your explanation here (delete this)*

**2. What are the rectangular coordinates of a point at $r =$ 8 cm, $\theta = 29^\circ$?**

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In [2]:
```## your code here
## or
## type what you put in calculator (safer to convert cell to markdown)

*your explanation here (delete this)*